664886848976064 has 672 divisors, whose sum is σ = 2243366496483840. Its totient is φ = 185616333619200.

The previous prime is 664886848976041. The next prime is 664886848976099. The reversal of 664886848976064 is 460679848688466.

664886848976064 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 8 + 6 + 8 + 489 + 7 + 60 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142100200477 + ... + 142100205155.

It is an arithmetic number, because the mean of its divisors is an integer number (3338343000720).

Almost surely, 2^{664886848976064} is an apocalyptic number.

664886848976064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664886848976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121683248241920).

664886848976064 is an abundant number, since it is smaller than the sum of its proper divisors (1578479647507776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664886848976064 is a wasteful number, since it uses less digits than its factorization.

664886848976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 128421199872, while the sum is 90.

The spelling of 664886848976064 in words is "six hundred sixty-four trillion, eight hundred eighty-six billion, eight hundred forty-eight million, nine hundred seventy-six thousand, sixty-four".